Инд. авторы: | Pinchukov V.I. |
Заглавие: | Three-and four-step implicit absolutely stable fourth-order runge-kutta schemes |
Библ. ссылка: | Pinchukov V.I. Three-and four-step implicit absolutely stable fourth-order runge-kutta schemes // Computational Mathematics and Mathematical Physics. - 2006. - Vol.46. - Iss. 1. - P.111-124. - ISSN 0965-5425. - EISSN 1555-6662. |
Внешние системы: | DOI: 10.1134/S096554250601012X; РИНЦ: 13521676; SCOPUS: 2-s2.0-33746043307; |
Реферат: | eng: Two types of implicit fourth-order Runge-Kutta schemes are constructed for first-order ordinary differential equations, multidimensional transfer equations, and compressible gas equations. The absolute stability of the schemes is proved by applying the principle of frozen coefficients. Adaptive artificial viscosity ensuring good time convergence and oscillations damping near discontinuities is used in solving gas dynamics equations. The comparative efficiency of the schemes is illustrated by numerical results obtained for compressible gas flows. © MAIK 'Nauka/Interperiodica' (Russia), 2006.
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Издано: | 2006 |
Физ. характеристика: | с.111-124 |